What is the Greatest Common Factor of 98118 and 98129?

Greatest common factor (GCF) of 98118 and 98129 is 1.

GCF(98118,98129) = 1

We will now calculate the prime factors of 98118 and 98129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98118 and 98129.

How to find the GCF of 98118 and 98129?

We will first find the prime factorization of 98118 and 98129. After we will calculate the factors of 98118 and 98129 and find the biggest common factor number .

Step-1: Prime Factorization of 98118

Prime factors of 98118 are 2, 3, 23, 79. Prime factorization of 98118 in exponential form is:

98118 = 2¹ × 3³ × 23¹ × 79¹

Step-2: Prime Factorization of 98129

Prime factors of 98129 are 98129. Prime factorization of 98129 in exponential form is:

98129 = 98129¹

Step-3: Factors of 98118

List of positive integer factors of 98118 that divides 98118 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 79, 138, 158, 207, 237, 414, 474, 621, 711, 1242, 1422, 1817, 2133, 3634, 4266, 5451, 10902, 16353, 32706, 49059

Step-4: Factors of 98129

List of positive integer factors of 98129 that divides 98118 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98118 and 98129. The biggest common factor number is the GCF number.
So the greatest common factor 98118 and 98129 is 1.

Also check out the Least Common Multiple of 98118 and 98129